One particular black 5-brane geometry from [1]} reads
\(\vspace{-2.0pt}\begin{array}{ll}\!{{\rm d}}s^{2}=\frac{-{{\rm d}}t^{2}+{{\rm d}}r^{2}}{F(r)}+r^{2}{{\rm d}}\Omega _{3}^{2}+{{\rm d}}\vec{x}^{\,2}\,,\quad &~\, \scalebox {0.95}{F=1{-({r_{c}/r})^{2}}=e^{-2\phi }}\,.\end{array}\) 
